Finding the Fourth Proportional to 2,978.28, 4,467.61 and 1,003.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.28 : 4,467.61 = 1,003.75 : x
2. Step 2: Convert to fraction form
   2,978.28/4,467.61 = 1,003.75/x
3. Step 3: Cross multiply
   2,978.28x = 4,467.61 × 1,003.75
4. Step 4: Simplify right side
   2,978.28x = 4,484,366.05
5. Step 5: Solve for x
   x = 4,484,366.05/2,978.28
6. Step 6: Final answer
   x = 1,505.69